Well-posedness for compressible Rayleigh-Bénard convection

Dongfen Bian; Boling Guo

doi:10.1007/s11464-013-0330-x

Well-posedness for compressible Rayleigh-Bénard convection

Dongfen Bian^*, Boling Guo

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摘要

The Rayleigh-Bénard convection is a classical problem in fluid dynamics. In this paper, we are concerned with the well-posedness for the compressible Rayleigh-Bénard convection in a bounded domain Ω ⊂ ℝ². We prove the local well-posedness of the system with appropriate initial data. This is the result concerning compressible Rayleigh-Bénard convection, before only results about incompressible Rayleigh-Bénard convection were done.

源语言	英语
页（从-至）	1253-1264
页数	12
期刊	Frontiers of Mathematics in China
卷	8
期	6
DOI	https://doi.org/10.1007/s11464-013-0330-x
出版状态	已出版 - 12月 2013
已对外发布	是

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Bian, D., & Guo, B. (2013). Well-posedness for compressible Rayleigh-Bénard convection. Frontiers of Mathematics in China, 8(6), 1253-1264. https://doi.org/10.1007/s11464-013-0330-x

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AB - The Rayleigh-Bénard convection is a classical problem in fluid dynamics. In this paper, we are concerned with the well-posedness for the compressible Rayleigh-Bénard convection in a bounded domain Ω ⊂ ℝ2. We prove the local well-posedness of the system with appropriate initial data. This is the result concerning compressible Rayleigh-Bénard convection, before only results about incompressible Rayleigh-Bénard convection were done.

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Well-posedness for compressible Rayleigh-Bénard convection

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